3T makes a pair of 11 speed 9-32 road cassettes (Bailout, Overdrive) for SRAM XD driver hubs. I think the gear range is ideal on the Birdy and should be easier to fit than long cages with dinner plates but they're relatively expensive.

I bought a bailout but got tripped up on swapping from the shimano freehub body to the SRAM one since there were multiple options that looked like they might work and I didn't want to deal with guessing and returning. Then the weather got nice and I decided to put it off until I swap my chain.